6.5 hora would equal to $195 plus the $45 service charge, it brings the total to $240
The total cost is the sum of the hourly rate and the service charge:
[tex]Cost_{total}=Hourly+Service[/tex]
[tex]C_{t}=H+S[/tex]
The hourly charge is the product of the hourly rate and the total time:
[tex]Hourly=Rate \times Time[/tex]
[tex]H=Rt[/tex]
Combining these we have:
[tex]C_{t}=Rt+s[/tex]
Substituting the given values:
[tex]C_{t}=(\frac{\$30}{hour})(6.5hours)+\$45[/tex]
[tex]C_{t}=\$195+\$45[/tex]
[tex]C_{t}=\$240[/tex]
The total cost is $240.
